Fraction Chart: Seeing Parts of a Whole

Slide between fractions and percents as a pie and grid shade the same value and a simplified label proves equivalence.

  • fractions
  • percentages
  • visual-models
Subject
Math
Difficulty
Easy
Duration
6 min
Ages
8-13

Pie Chart

Divided Square

Horizontal Bar

Current value

3 8 37.5%

How to Play

🧩 First Look: One Value, Two Pictures

Start in Fraction Mode. Move the numerator or denominator slider to choose a value like 3/8 or 5/12. The pie chart shades a matching slice while the tiled square colors the same fraction of its blocks. As you adjust the sliders, watch the two models move together β€” a powerful reminder that different shapes can represent the same idea.

πŸ”€ Switch Between Fraction and Percent Views

Flip to Percent Mode when you want the denominator locked at 100. Slide the value to 25, 40, or 72 and watch the visuals update instantly. Below, a readout shows your number as a percent, a simplified fraction, and a decimal. This helps you see that 25% is also 25/100 and 0.25, all pointing to the same part of the whole.

🎯 Discover Equivalent Fractions

Try building familiar amounts β€” one-half, one-third, three-fourths β€” in as many forms as you can. Set 2/4, then 3/6, then 50/100. Even though the numbers look different, the pie wedge and shaded blocks stay the same. Use the Simplified label to confirm when two symbols describe the exact same area.

πŸ§ͺ Make Predictions and Test Them

Before moving a slider, guess whether the shaded portion will get larger or smaller. Predict which fractions are close to 1/2, which are smaller than 1/3, or which ones fill nearly the entire shape. Then adjust and see if your mental model matches the graphic.

Study Notes

πŸŒ— Why Two Models Clarify Fractions

The pie chart shows fractions as parts of a circle, which matches natural imagery like pizza slices or pie wedges. The grid model shows fractions as sets of equal-sized blocks. Seeing both together reinforces the idea that fractions are not tied to a particular shape β€” they simply represent a portion of something whole.

πŸ“ Denominators and Meaning

The denominator tells you how many equal parts the whole is cut into. Changing it changes the β€œsize” of each piece. Percent Mode fixes the denominator at 100, making the fraction easy to compare to everyday percentages. This is why numbers like 25/100 and 50/100 map cleanly to the familiar 25% and 50%.

πŸ” Connecting Fractions, Decimals, and Percents

The simplified label helps learners see that different-looking fractions can represent the same area. For example, 8/10 and 4/5 and 0.8 are all ways of naming the same quantity. Discussing these connections helps build flexible number sense that applies across many topics.

πŸ—£οΈ Talk It Out

Encourage learners to describe each match aloud:
β€œSix out of twelve is the same as one-half because both cover 50% of the shape.”
Explaining reasoning out loud deepens understanding and turns the chart into a shared thinking space.